How do you simplify $sqrt(30)/(sqrt(2)*sqrt(5)$ ?

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Answer 1 · 2018-06-06T09:27:43

$[sqrt(30)/[(sqrt(2)*sqrt(5))]]=sqrt30/sqrt10=sqrt(30/10)=sqrt3$

Note that:

$color(red)[sqrta/sqrtb=sqrt(a/b)]$

$color(red)[sqrta*sqrtb=sqrt(a*b)]$

$[sqrt(30)/[(sqrt(2)*sqrt(5))]]=sqrt30/sqrt10=sqrt(30/10)=sqrt3$

Answer 2 · 2018-06-06T09:28:45

$sqrt30/(sqrt2*sqrt5) = sqrt30/sqrt(2*5)=sqrt(30/10)=sqrt3$

$sqrt30/(sqrt2*sqrt5) = sqrt30/sqrt(2*5)=sqrt(30/10)=sqrt3$

How do you simplify sqrt(30)/(sqrt(2)*sqrt(5)sqrt(30)/(sqrt(2)*sqrt(5)?